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Need help with powers of powers!!!

Need help with powers of powers!!!-example-1

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\bf 81h^8k^6\quad \begin{cases} 81=9^(1\cdot 2)\\ h^8=h^(2\cdot 4)\\ k^6=k^(3\cdot 2) \end{cases}\implies 9^{1\cdot \stackrel{\downarrow }{2}}h^{\stackrel{\downarrow }{2}\cdot 4}k^{3\cdot \stackrel{\downarrow }{2}}\implies (9^1h^4k^3)^{\stackrel{\downarrow }{2}} \\\\\\ (9h^4k^3)^2
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